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Nuclear Pasta ?

Nuclear Pasta ?. C.O.Dorso (UBA, Universidad de Buenos Aires) in collaboration with P. Gimenez Molinelli (UBA) P.Alcain (UBA) J. Nichols (UBA) & J. Lopez(UTEP). IWNDT 2013 In Honor of Prof. J. Natowitz. Are all pasta ?. Are both pasta?. What is nuclear Pasta?

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Nuclear Pasta ?

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  1. Nuclear Pasta ? C.O.Dorso (UBA, Universidad de Buenos Aires) in collaboration with P. Gimenez Molinelli (UBA) P.Alcain (UBA) J. Nichols (UBA) & J. Lopez(UTEP) IWNDT 2013 In Honor of Prof. J. Natowitz

  2. Are all pasta ? Are both pasta?

  3. What is nuclear Pasta? What is the effect of periodic boundary conditions on the morphology of the system? What is the role of Coulomb? What is the role of the Debye screening length on the scale of heterogeneities?

  4. Neutron Star The model used (Illinois potential) Finite systems Fragment recognition Critical behavior Symmetry energy Isoscaling Infinite systems (NS matter) Intermezzo Topology, g(r), The role of coulomb 2D system Lennard Jones + Coulomb Lennard Jones and the one pasta cell , the infinite Cluster,etc Illinois potential Nuclear Matter NS Matter

  5. The model and finite nuclei

  6. According to original work

  7. , etc Flat CC

  8. From nuclei to N Stars

  9. “ “ (or Debye)

  10. ...

  11. Pasta ! Gnocchi Spaghetti Lasagna

  12. (related to lindemann coefficient)

  13. Fragment Size Distriubution X=0.3 =0.10

  14. How to use the Euler number with “pasta” shapes?

  15. The role of coulomb We analyze the behavior of a system driven by: with 0  α  1

  16. =1 (circles) The role of coulomb =0 (squares) This suggests that there is pasta even without Coulomb!

  17. Intermezzo : what is the role of Coulomb? Lennard Jones + Coulomb Illinois potential is rather complicated because :

  18. Lennard Jones +coulomb as  increases no bump!

  19. The role of coulomb N=800

  20. no bump, still get ‘pasta’

  21. Cluster recognition in this case: MST with LRPBC Single cell analysis “Clusters” In the cell (finite) 10 objects

  22. Building the “big” fragments

  23. Infinite Cluster Detected If T>0 apply MSTE to MST Clusters

  24. Trivial infinite cluster 2 dimensions “no coulomb” no bump, still get ‘pasta’

  25. In 3 dimensions, no coulomb 1 structure per cell

  26. In the absence of coulomb we still get “Pasta” but just one structure per cell The scale is fixed by the cell When coulomb is switched on and  is above the “critical value” we get “True Pasta”, multiple structures per cell The scale is fixed by the potential

  27. Finite size, periodic boundary conditions and the appearance of “Pasta” without Coulomb The system is finite but not too small, particles interact by a short range potential Given a configuration we can write Surfaces

  28. 1 slab 1 cylinder 1 sphere

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